Impulsive effect on the delayed Cohen-Grossberg-type BAM neural networks

Authors:
Yonghui Xia
Affiliations:
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China
Venue:
Neurocomputing
Year:
2010

Citing 24
Cited 3

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Abstract

In the present paper, an impulsive Cohen-Grossberg-type bi-directional associative memory (BAM) neural network with distributed delays is studied. A set of new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self-regulation functions. Applying the results to some special cases, the obtained results generalize some previously known results. A variety of methods are employed to investigate the issue. The approaches are based on Banach fixed point theory, Brower fixed point theory, Laypunov-Kravsovskii functional, homeomorphism theory and the matrix spectral theory. It is believed that these results are helpful for the design and applications of the impulsive Cohen-Grossberg BAM type artificial neural networks.